Solve -1/3v-1/2=-3/4

$$- \frac { 1 } { 3 } v - \frac { 1 } { 2 } = - \frac { 3 } { 4 }$$

Solve for v

$$v=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Add \frac{1}{2} to both sides.

$$-\frac{1}{3}v=-\frac{3}{4}+\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$-\frac{1}{3}v=-\frac{3}{4}+\frac{2}{4}$$

Since -\frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$-\frac{1}{3}v=\frac{-3+2}{4}$$

Add -3 and 2 to get -1.

$$-\frac{1}{3}v=-\frac{1}{4}$$

Multiply both sides by -3, the reciprocal of -\frac{1}{3}.

$$v=-\frac{1}{4}\left(-3\right)$$

Express -\frac{1}{4}\left(-3\right) as a single fraction.

$$v=\frac{-\left(-3\right)}{4}$$

Multiply -1 and -3 to get 3.

$$v=\frac{3}{4}$$